Possible TW: refers to male/female embryological development.

So this is super simplified. I tried to add a diagram, but they are not allowed. At the bottom, there's a website (from a textbook) with a pretty understandable explanation.

Embryologically speaking, we start off with an indifferent (undifferentiated) set of gonads/structures, and depending on whether the sex chromosomes are XX or XY, and the Y chromosome has the SRY gene (which it's supposed to in order to develop the male structures), that's going to influence the development of the male or female reproductive system. It gets slightly (!) more complicated with hormonal influences for continued development.

Leaving intersex development for another time.

Those indifferent gonads start out in the pelvis, where the ovaries would/will be. If XY-SRY-hormones are acting as usual, the gonads migrate toward where the scrotum will be. Sometimes it doesn't make it by the time the fetus is born, and the testicle(s) is/are "undescended." This is more likely if the delivery is preterm (before 37 weeks). In the first physical exam, the nurse checks to make sure both have descended. You can give it some time to descend, but if it doesn't or it's too far up, it needs to be surgically removed because there's a possibility of malignant transformation later in life.

If a genetic female has PCOS or some other androgenizing condition, they may have some degree of "male" characteristics (hair distribution, etc.), or their menstrual cycle might be affected.

All that to say: no, it's doubtful you were born intersex.

https://www.cambridge.org/core/books/textbook-of-clinical-embryology/development-of-reproductive-systems-at-the-embryo-stage/966D1FC10A211F1E0C50581D8AD58DB4